A cube with two pyramidal cavities

A cube with two pyramidal cavities

Secondary 2
TGM Original Questions

A metal cube has side 4 m. Two rectangular pyramidal cavities, each with base \(1\text{ m}\times2\text{ m}\) and height 2 m, are removed. Use \(\pi=3.142\).

  1. Find the remaining volume.
  2. Find its mass if density is \(5400\text{ kg/m}^3\).
  3. It is recast as a solid hemisphere. Find
    1. its radius to 3 s.f.,
    2. total surface area to 2 d.p.

Solution:

Solution locked

Sign in to view the step-by-step solution

Similar questions are unavailable for this question.
Answer:(a) \(61.33\text{ m}^3\); (b) \(331200\) kg; (c)(i) \(3.08\) m; (ii) \(89.55\text{ m}^2\).

Need help? Join our JC Math tuition classes.

Learn more